Details

Time bar (total: 1.8s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample18.0ms

Algorithm
intervals
Results
5.0ms44×body1280valid
3.0ms147×body80valid
3.0ms35×body640valid
1.0ms24×body320valid
0.0ms6×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.6b
(cbrt x)
2.1b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 43
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series48.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cbrt (+ x 1.0))
21.0ms
(cbrt x)
20.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify59.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04919486
14919486

prune87.0ms

Filtered
41 candidates to 52 candidates (-26.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New48452
Fresh000
Picked101
Done000
Total49453

Merged error: 0.2b

Counts
53 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series88.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05165356

prune140.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New78785
Fresh033
Picked011
Done000
Total781189

Merged error: 0.1b

Counts
89 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series100.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
20.0ms
(cbrt x)
30.0ms
(cbrt (cbrt x))
28.0ms
(cbrt (cbrt x))

simplify35.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04926282
14926282

prune136.0ms

Filtered
46 candidates to 62 candidates (-34.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New58462
Fresh279
Picked011
Done011
Total601373

Merged error: 0.1b

Counts
73 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 56
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series117.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
29.0ms
(cbrt (cbrt x))
30.0ms
(cbrt (cbrt x))

simplify53.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04787368
14787368

prune123.0ms

Filtered
56 candidates to 68 candidates (-21.4%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New66268
Fresh01010
Picked011
Done022
Total661581

Merged error: 0.1b

Counts
81 → 15

regimes79.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

sample537.0ms

Algorithm
intervals
Results
197.0ms1725×body1280valid
109.0ms1228×body640valid
93.0ms4099×body80valid
41.0ms657×body320valid
12.0ms291×body160valid

Profiling

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